Chirp manipulation

Linear Chirp

Time domain representation

Zero centered baseband chirp:

\[s(t) = e^{j\pi\gamma t^2}\] where \(t\) - time; \(\gamma = \frac{B}{\tau}\) - frequency slope; \(B\) - chirp bandwidth; \(\tau\) - chirp duration; \(T\) - sampling period; \(2M\) - number of samples.

M = 100;
n = -M : M-1;
T = 0.1;
t = n*T;
gamma = 0.15;
sChirp = exp(1j*pi*gamma*t.^2);
plot_complex(t, sChirp, 'time')
Complex chirp in time domain